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Finding the Fourth Proportional to 5,101.98, 7,644.33 and 4,065.18

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Solution

The fourth proportional to 5,101.98, 7,644.33 and 4,065.18 is: 6,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.98 : 7,644.33 = 4,065.18 : x
  2. Step 2: Convert to fraction form
    5,101.98/7,644.33 = 4,065.18/x
  3. Step 3: Cross multiply
    5,101.98x = 7,644.33 × 4,065.18
  4. Step 4: Simplify right side
    5,101.98x = 31,075,577.43
  5. Step 5: Solve for x
    x = 31,075,577.43/5,101.98
  6. Step 6: Final answer
    x = 6,090.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.